Mathematics

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a^2 + b^2 = c^2

\alpha + \beta +\delta+\theta +\phi \rho

Consider (eq:a): $$ \alpha = \beta $$ (a)

Consider (eq:a):

$$ \alpha = \beta $$        (a)

@equation(id)
x = \sum_{i=1}{N} i
@/

$ y=\sum_{i=1}^n g(x_i) $

 $ y=\sum_{i=1}^n g(x_i) $

\begin{align} 
(a+b)^3 &= (a+b)^2(a+b)\\
&=(a^2+2ab+b^2)(a+b)\\
&=(a^3+2a^2b+ab^2) + (a^2b+2ab^2+b^3)\\
&=a^3+3a^2b+3ab^2+b^3
\end{align}

\[ \left|\sum_{i=1}^n a_ib_i\right| \le \left(\sum_{i=1}^n a_i^2\right)^{1/2} \left(\sum_{i=1}^n b_i^2\right)^{1/2} \]

\[
\left|\sum_{i=1}^n a_ib_i\right|
\le
\left(\sum_{i=1}^n a_i^2\right)^{1/2}
\left(\sum_{i=1}^n b_i^2\right)^{1/2}
\]

Last updated 5 years ago

Was this helpful?

a^2 + b^2 = c^2

\alpha + \beta +\delta+\theta +\phi \rho

Consider (eq:a): $$ \alpha = \beta $$ (a)

Consider (eq:a):

$$ \alpha = \beta $$        (a)

@equation(id) x = \sum_{i=1}{N} i @/

@equation(id)
x = \sum_{i=1}{N} i
@/

$ y=\sum_{i=1}^n g(x_i) $

 $ y=\sum_{i=1}^n g(x_i) $

\begin{align} (a+b)^3 &= (a+b)^2(a+b)\\ &=(a^2+2ab+b^2)(a+b)\\ &=(a^3+2a^2b+ab^2) + (a^2b+2ab^2+b^3)\\ &=a^3+3a^2b+3ab^2+b^3 \end{align}

\begin{align} 
(a+b)^3 &= (a+b)^2(a+b)\\
&=(a^2+2ab+b^2)(a+b)\\
&=(a^3+2a^2b+ab^2) + (a^2b+2ab^2+b^3)\\
&=a^3+3a^2b+3ab^2+b^3
\end{align}

\[ \left|\sum_{i=1}^n a_ib_i\right| \le \left(\sum_{i=1}^n a_i^2\right)^{1/2} \left(\sum_{i=1}^n b_i^2\right)^{1/2} \]

\[
\left|\sum_{i=1}^n a_ib_i\right|
\le
\left(\sum_{i=1}^n a_i^2\right)^{1/2}
\left(\sum_{i=1}^n b_i^2\right)^{1/2}
\]

@equation(id) x = \sum_{i=1}{N} i @/

\begin{align} (a+b)^3 &= (a+b)^2(a+b)\\ &=(a^2+2ab+b^2)(a+b)\\ &=(a^3+2a^2b+ab^2) + (a^2b+2ab^2+b^3)\\ &=a^3+3a^2b+3ab^2+b^3 \end{align}